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Positivity of Brownian Transition Densities
Transition Densities Brownian Motion Eigenvalue Expansion Fine Topology Regular Points
2009/5/8
Let $B$ be a Borel subset of $R^d$ and let $p(t,x,y)$ be the transition densities of Brownian motion killed on leaving $B$. Fix $x$ and $y$ in $B$. If $p(t,x,y)$ is positive for one $t$, it is positiv...